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Simplifying 5 + 2(4z + -3) = 3(2z + 5) Reorder the terms: 5 + 2(-3 + 4z) = 3(2z + 5) 5 + (-3 * 2 + 4z * 2) = 3(2z + 5) 5 + (-6 + 8z) = 3(2z + 5) Combine like terms: 5 + -6 = -1 -1 + 8z = 3(2z + 5) Reorder the terms: -1 + 8z = 3(5 + 2z) -1 + 8z = (5 * 3 + 2z * 3) -1 + 8z = (15 + 6z) Solving -1 + 8z = 15 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -1 + 8z + -6z = 15 + 6z + -6z Combine like terms: 8z + -6z = 2z -1 + 2z = 15 + 6z + -6z Combine like terms: 6z + -6z = 0 -1 + 2z = 15 + 0 -1 + 2z = 15 Add '1' to each side of the equation. -1 + 1 + 2z = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = 15 + 1 2z = 15 + 1 Combine like terms: 15 + 1 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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